40805613413280 has 144 divisors (see below), whose sum is σ = 139256300252160. Its totient is φ = 10880938612224.

The previous prime is 40805613413261. The next prime is 40805613413287. The reversal of 40805613413280 is 8231431650804.

40805613413280 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 5 + 613 + 4 + 1 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40805613413287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27735889 + ... + 29170031.

It is an arithmetic number, because the mean of its divisors is an integer number (967057640640).

Almost surely, 2^{40805613413280} is an apocalyptic number.

40805613413280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40805613413280 is an abundant number, since it is smaller than the sum of its proper divisors (98450686838880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40805613413280 is a wasteful number, since it uses less digits than its factorization.

40805613413280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453923 (or 1453912 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40805613413280 in words is "forty trillion, eight hundred five billion, six hundred thirteen million, four hundred thirteen thousand, two hundred eighty".